Let . Determine all real numbers for which the equation has a solution somewhere in…

MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Let

g(x)=x^{3}+2x

. Determine all real numbers

k

for which the equation

g(x)=k

has a solution somewhere in the closed interval

[1,2]

. Express your answer as an inequality involving

k